18. Chapter 18. Constructions NIOS Class 10 Mathematics Textbook Solutions

Chapter 18. Constructions NIOS Class 10 Mathematics Textbook Solutions for Exam Preparation

Chapter 18. CONSTRUCTIONS

CHECK YOUR PROGRESS 18.1

1. Draw a line segment 7 cm long. Divide it internally in the ratio 3 : 4. Measure each part. Also write the steps of construction.

2. Draw a line segment PQ = 8 cm. Find point R on it such that PR =34PQ .

[Hint: Divide the line segment PQ internally in the ratio 3 : 1]

CHECK YOUR PROGRESS 18.2

1. Construct a ΔDEF, given that DE = 5.1 cm, EF = 4 cm and DF = 5.6 cm. Write the steps of construction.

2. Construct a ΔPQR, given that PR = 6.5 cm, ∠P = 120° and PQ = 5.2 cm.

3. Construct a ΔABC given that BC = 5.5 cm, ∠B = 75° and ∠C = 45° .

4. Construct a right triangle in which one side is 3 cm and hypotenuse is 7.5 cm.

5. Construct a right angled isoceles triangle in which one of equal sides is 4.8 cm.

6. Construct a ΔABC given that AB + BC + AC = 10 cm, ∠B = 60° , ∠C = 30°.

7. Construct a ΔABC in which AB = 5 cm, ∠A = 60° , BC + AC = 9.8 cm.

8. Construct a ΔLMN, when ∠M = 30° , MN = 5 cm and LM – LN = 1.5 cm.

9. Construct a triangle PQR in which PQ = 5 cm, QR = 4.2 cm and median RS = 3.8 cm.

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